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Volumn 39, Issue 3, 2006, Pages 310-329

Evaluating the performance of Gompertz, Makeham and Lee-Carter mortality models for risk management with unit-linked contracts

Author keywords

IB10; IM01; IM10; IM53; Mortality forecasting; Mortality model; Quantile hedging; Risk management; Stochastic modelling; Unit linked contracts

Indexed keywords


EID: 33750324297     PISSN: 01676687     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.insmatheco.2006.02.012     Document Type: Article
Times cited : (44)

References (39)
  • 2
    • 38249003102 scopus 로고
    • Pricing of unit-linked life insurance with endogenous minimum guarantees
    • Bacinello A.R., and Ortu F. Pricing of unit-linked life insurance with endogenous minimum guarantees. Insurance: Mathematics and Economics 12 (1993) 245-257
    • (1993) Insurance: Mathematics and Economics , vol.12 , pp. 245-257
    • Bacinello, A.R.1    Ortu, F.2
  • 3
    • 29144513639 scopus 로고    scopus 로고
    • Affine processes for dynamic mortality and actuarial valuations
    • Biffis E. Affine processes for dynamic mortality and actuarial valuations. Insurance: Mathematics and Economics 37 (2005) 443-468
    • (2005) Insurance: Mathematics and Economics , vol.37 , pp. 443-468
    • Biffis, E.1
  • 4
    • 85015692260 scopus 로고
    • Pricing of options and corporate liabilities
    • Black F., and Scholes M. Pricing of options and corporate liabilities. Journal of Political Economy 81 3 (1973) 637-654
    • (1973) Journal of Political Economy , vol.81 , Issue.3 , pp. 637-654
    • Black, F.1    Scholes, M.2
  • 5
    • 33750368638 scopus 로고    scopus 로고
    • Bolder, D.J., Johnson, G., Metzler, A., 2004. An empirical analysis of the Canadian term structure of zero-coupon interest rates. Bank of Canada: Working Paper 2004-48. Available at www.bankofcanada.ca
  • 6
    • 16544386807 scopus 로고    scopus 로고
    • Population aging and the rising cost of public pensions
    • Bongaarts J. Population aging and the rising cost of public pensions. Population and Development Review 30 1 (2004) 1-23
    • (2004) Population and Development Review , vol.30 , Issue.1 , pp. 1-23
    • Bongaarts, J.1
  • 9
    • 0001018312 scopus 로고
    • The pricing of equity-linked life insurance policies with an asset value guarantee
    • Brennan M.J., and Schwartz E.S. The pricing of equity-linked life insurance policies with an asset value guarantee. Journal of Financial Economics 3 (1976) 195-213
    • (1976) Journal of Financial Economics , vol.3 , pp. 195-213
    • Brennan, M.J.1    Schwartz, E.S.2
  • 10
    • 0037146860 scopus 로고    scopus 로고
    • A Poisson log-bilinear regression approach to the construction of projected life tables
    • Brouhns N., Denuit M., and Vermunt J.K. A Poisson log-bilinear regression approach to the construction of projected life tables. Insurance: Mathematics and Economics 31 (2002) 373-393
    • (2002) Insurance: Mathematics and Economics , vol.31 , pp. 373-393
    • Brouhns, N.1    Denuit, M.2    Vermunt, J.K.3
  • 11
    • 31544467745 scopus 로고    scopus 로고
    • Bootstrapping the Poisson log-bilinear model for mortality forecasting
    • Brouhns N., Denuit M., and Van Keilegom I. Bootstrapping the Poisson log-bilinear model for mortality forecasting. Scandinavian Actuarial Journal 3 (2005) 212-224
    • (2005) Scandinavian Actuarial Journal , vol.3 , pp. 212-224
    • Brouhns, N.1    Denuit, M.2    Van Keilegom, I.3
  • 12
    • 0001205798 scopus 로고
    • A theory of the term structure of interest rates
    • Cox J., Ingersoll J., and Ross S. A theory of the term structure of interest rates. Econometrica 53 2 (1985) 385-408
    • (1985) Econometrica , vol.53 , Issue.2 , pp. 385-408
    • Cox, J.1    Ingersoll, J.2    Ross, S.3
  • 13
    • 4344587999 scopus 로고    scopus 로고
    • Stochastic mortality in life insurance: market reserves and mortality-linked insurance contracts
    • Dahl M. Stochastic mortality in life insurance: market reserves and mortality-linked insurance contracts. Insurance: Mathematics and Economics 35 (2004) 113-136
    • (2004) Insurance: Mathematics and Economics , vol.35 , pp. 113-136
    • Dahl, M.1
  • 14
    • 33750376764 scopus 로고    scopus 로고
    • Davis, M., 2002. Multi-asset options. Department of Mathematics, Imperial College London
  • 18
    • 33750366976 scopus 로고    scopus 로고
    • Higgins, T., 2003. Mathematical models of mortality. Presented at Workshop on Mortality Modelling and Forecasting. Australian National University
  • 19
    • 0032198807 scopus 로고    scopus 로고
    • Deceleration in the age pattern of mortality at older ages
    • Horiuchi Sh., and Wilmoth J.R. Deceleration in the age pattern of mortality at older ages. Demography 35 4 (1998) 391-412
    • (1998) Demography , vol.35 , Issue.4 , pp. 391-412
    • Horiuchi, Sh.1    Wilmoth, J.R.2
  • 21
    • 33750306446 scopus 로고    scopus 로고
    • Human mortality database. University of California, Berkeley (USA), and Max Planck Institute for Demographic Research (Germany). Available at www.mortality.org (data downloaded between February and September, 2005)
  • 22
    • 27844523565 scopus 로고    scopus 로고
    • Efficient hedging and pricing life insurance policies in a jump-diffusion model
    • Kirch M., and Melnikov A.V. Efficient hedging and pricing life insurance policies in a jump-diffusion model. Stochastic Analysis and Applications 23 6 (2005) 1213-1233
    • (2005) Stochastic Analysis and Applications , vol.23 , Issue.6 , pp. 1213-1233
    • Kirch, M.1    Melnikov, A.V.2
  • 23
    • 31544436582 scopus 로고    scopus 로고
    • Evaluating and extending the Lee-Carter model for mortality forecasting: Bootstrap confidence interval
    • Koissi M.-C., Shapiro A.F., and Högnäs G. Evaluating and extending the Lee-Carter model for mortality forecasting: Bootstrap confidence interval. Insurance: Mathematics and Economics 38 (2006) 1-20
    • (2006) Insurance: Mathematics and Economics , vol.38 , pp. 1-20
    • Koissi, M.-C.1    Shapiro, A.F.2    Högnäs, G.3
  • 25
    • 85011210153 scopus 로고    scopus 로고
    • The Lee-Carter method for forecasting mortality with various extensions and applications
    • Lee R.D. The Lee-Carter method for forecasting mortality with various extensions and applications. North American Actuarial Journal 1 4 (2000) 80-91
    • (2000) North American Actuarial Journal , vol.1 , Issue.4 , pp. 80-91
    • Lee, R.D.1
  • 27
    • 33750296649 scopus 로고    scopus 로고
    • Luciano, E., Vigna, E., 2005. Non mean-reverting affine processes for stochastic mortality. Paper presented at the 15th International AFIR Colloquium. Zurich, Switzerland
  • 28
    • 0035261371 scopus 로고    scopus 로고
    • Reconsidering mortality compression and deceleration: An alternative model of mortality rates
    • Lynch S.M., and Brown J.S. Reconsidering mortality compression and deceleration: An alternative model of mortality rates. Demography 38 1 (2001) 79-95
    • (2001) Demography , vol.38 , Issue.1 , pp. 79-95
    • Lynch, S.M.1    Brown, J.S.2
  • 29
    • 84977359121 scopus 로고
    • The value of an option to exchange one asset for another
    • Margrabe W. The value of an option to exchange one asset for another. Journal of Finance 33 (1978) 177-186
    • (1978) Journal of Finance , vol.33 , pp. 177-186
    • Margrabe, W.1
  • 30
    • 17444364462 scopus 로고    scopus 로고
    • Margrabe's formula and quantile hedging of life insurance contracts
    • Doklady Academii Nauk 400 (2), 1-4 (in Russian)
    • Melnikov A.V., Romaniuk Yu.V., and Skornyakova V.S. Margrabe's formula and quantile hedging of life insurance contracts. Doklady Mathematics 71 1 (2005) 31-34 Doklady Academii Nauk 400 (2), 1-4 (in Russian)
    • (2005) Doklady Mathematics , vol.71 , Issue.1 , pp. 31-34
    • Melnikov, A.V.1    Romaniuk, Yu.V.2    Skornyakova, V.S.3
  • 31
    • 85011436156 scopus 로고    scopus 로고
    • Risk-minimizing hedging strategies for unit-linked life insurance contracts
    • Moeller T. Risk-minimizing hedging strategies for unit-linked life insurance contracts. ASTIN Bulletin 28 (1998) 17-47
    • (1998) ASTIN Bulletin , vol.28 , pp. 17-47
    • Moeller, T.1
  • 32
    • 33750296145 scopus 로고    scopus 로고
    • Pitacco, E., 2003. Survival models in actuarial mathematics: from Halley to longevity risk. In: Invited lecture at 7th International Congress Insurance: Mathematics and Economics, ISFA, Lyon
  • 34
    • 0034660649 scopus 로고    scopus 로고
    • A universal pattern of mortality decline in the G7 countries
    • Tuljapurkar Sh., Li N., and Boe C. A universal pattern of mortality decline in the G7 countries. Nature 405 (2000) 789-792
    • (2000) Nature , vol.405 , pp. 789-792
    • Tuljapurkar, Sh.1    Li, N.2    Boe, C.3
  • 35
    • 33750303205 scopus 로고    scopus 로고
    • Wilmoth, J.R., 1993. Computational methods for fitting and extrapolating the Lee-Carter model of mortality change. Technical Report. University of California, Berkeley, USA
  • 36
    • 0033219331 scopus 로고    scopus 로고
    • Rectangularization revisited: variability of age at death within human populations
    • Wilmoth J.R., and Horiuchi Sh. Rectangularization revisited: variability of age at death within human populations. Demography 36 4 (1999) 475-495
    • (1999) Demography , vol.36 , Issue.4 , pp. 475-495
    • Wilmoth, J.R.1    Horiuchi, Sh.2
  • 37
    • 85011124308 scopus 로고    scopus 로고
    • Projecting mortality trends: recent developments in the United Kingdom and the United States
    • Wong-Fupuy C., and Haberman S. Projecting mortality trends: recent developments in the United Kingdom and the United States. North American Actuarial Journal 8 2 (2004) 56-83
    • (2004) North American Actuarial Journal , vol.8 , Issue.2 , pp. 56-83
    • Wong-Fupuy, C.1    Haberman, S.2
  • 38
    • 0347078538 scopus 로고
    • An equilibrium characterization of the term structure
    • Vasicek O. An equilibrium characterization of the term structure. Journal of Financial Economics 5 2 (1977) 177-188
    • (1977) Journal of Financial Economics , vol.5 , Issue.2 , pp. 177-188
    • Vasicek, O.1
  • 39
    • 0035217585 scopus 로고    scopus 로고
    • The new trends in survival improvement require a revision of traditional gerontological concepts
    • Yashin A.I., Begun A.S., Boiko S.I., Ukraintseva S.V., and Oeppen J. The new trends in survival improvement require a revision of traditional gerontological concepts. Experimental Gerontology 37 (2001) 157-167
    • (2001) Experimental Gerontology , vol.37 , pp. 157-167
    • Yashin, A.I.1    Begun, A.S.2    Boiko, S.I.3    Ukraintseva, S.V.4    Oeppen, J.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.